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137950454628 = 223272292718821
BaseRepresentation
bin1000000001111001111…
…1001110001101100100
3111012002000010012001100
42000132133032031210
54230010304022003
6143212405000100
712652353342240
oct2003637161544
9435060105040
10137950454628
1153560487398
122289b3b3030
131001608b45c
146969357420
1538c5d23ba3
hex201e7ce364

137950454628 has 144 divisors (see below), whose sum is σ = 401786344960. Its totient is φ = 39093062400.

The previous prime is 137950454623. The next prime is 137950454639. The reversal of 137950454628 is 826454059731.

It is a happy number.

137950454628 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 5 + 0 + 4 + 5 + 4 + 628 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137950454623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15634458 + ... + 15643278.

It is a 1-persistent number, because it is pandigital, but 2⋅137950454628 = 275900909256 is not.

Almost surely, 2137950454628 is an apocalyptic number.

137950454628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137950454628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200893172480).

137950454628 is an abundant number, since it is smaller than the sum of its proper divisors (263835890332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137950454628 is a wasteful number, since it uses less digits than its factorization.

137950454628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 137950454628 in words is "one hundred thirty-seven billion, nine hundred fifty million, four hundred fifty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 271 458 542 687 813 916 1084 1374 1603 1626 1897 2061 2439 2748 3206 3252 3794 4122 4809 4878 5691 6412 7588 8244 8821 9618 9756 11382 14427 17073 17642 19236 22764 26463 28854 34146 35284 52926 57708 61747 62059 68292 79389 105852 123494 124118 158778 185241 186177 246988 248236 317556 370482 372354 434413 555723 558531 740964 744708 868826 1111446 1117062 1303239 1737652 2020009 2222892 2234124 2390491 2606478 3909717 4040018 4780982 5212956 6060027 7171473 7819434 8080036 9561964 12120054 14140063 14342946 15638868 16733437 18180081 21514419 24240108 28280126 28685892 33466874 36360162 42420189 43028838 50200311 56560252 66933748 72720324 84840378 86057676 100400622 127260567 150600933 169680756 200801244 254521134 301201866 509042268 547422439 602403732 1094844878 1642267317 2189689756 3284534634 3831957073 4926801951 6569069268 7663914146 9853603902 11495871219 15327828292 19707207804 22991742438 34487613657 45983484876 68975227314 137950454628